Computer Science ›› 2023, Vol. 50 ›› Issue (10): 71-79.doi: 10.11896/jsjkx.230500218

• Granular Computing & Knowledge Discovery • Previous Articles     Next Articles

Optimal Granularity Selection and Attribute Reduction in Meso-granularity Space

LI Teng1, LI Deyu1,2, ZHAI Yanhui1,2, ZHANG Shaoxia3   

  1. 1 School of Computer and Information Technology,Shanxi University,Taiyuan 030006,China
    2 Key Laboratory of Computational Intelligence and Chinese Information Processing(Shanxi University),Ministry of Education,Taiyuan 030006,China
    3 College of Information,Shanxi University of Finance and Economics,Taiyuan 030006,China
  • Received:2023-05-29 Revised:2023-07-27 Online:2023-10-10 Published:2023-10-10
  • About author:LI Teng,born in 1999, master.His main research interests include data mining and formal concept analysis.LI Deyu,born in 1965, Ph.D,professor,Ph.D supervisor,is a senior member of China Computer Federation.His main research interests include data mining and multi-label learning.
  • Supported by:
    National Natural Science Foundation of China(62072294,61972238) and Fundamental Research Program of Shanxi Province(202103021223303).

Abstract: The conventional formal concept analysis adopts a meso-granularity formal context to meet the requirements of cross-layer granulation of data.However,it does not effectively combine the search for optimal granularity with attribute reduction,nor does it efficiently solve the problem of combination explosion in a multi-granular context.Therefore,based on the connection between granularity selection and attribute reduction in the meso-granularity,a new optimal granularity selection method(i.e.,optimal granularity reduction) is proposed to synchronize the selection of the optimal granularity and attribute reduction.In view of the combination explosion in searching for optimal granularity reduction,a stepwise search method is designed to update the gra-nularity space with searched information,eliminating a large number of non-optimal granularity reduction and significantly improving search efficiency.Experimental results demonstrate the effectiveness and superiority of this method.

Key words: Formal concept analysis, Multi-granularity decision formal context, Optimal granularity, Attribute reduction, Granular computing

CLC Number: 

  • TP182
[1]WILLE R.Restructuring lattice theory:An approach based onhierarchies of concepts[C]//IVAN R.Ordered Sets.Berlin,Germany:Springer,1982:445-470.
[2]ZHANG L,ZHANG B.Quotient space based problem solving:A theoretical foundation of granular computing[M].Beijing,China:TsinghuaUniversity Press,2014.
[3]MULKAR-MEHTA R,HOBBS J,HOVY E.Granularity innatural language discourse[C]//Proceedings of the 9th International Conference on Computational Semantics.Stroudsburg,USA:ACL,2011:360-364.
[4]WEI L,WAN Q.Granular Transformation and irreducible element judgment theory based on pictorial diagrams[J].IEEE Transactions on Cybernetics,2016,46(2):380-387.
[5]LI F,HU B Q.A new approach of optimal scale selection tomulti-scale decision tables[J].Information Sciences,2017,381,193-208.
[6]YAO Y Y.Three-way decisions with probabilistic rough sets[J].Information Sciences,2010,180(3):341-353.
[7]CHENG Y L,ZHANG Q H,WANG G Y,et al.Optimal scale selection and attribute reduction in multi-scale decision tables based on three-way decision[J].Information Sciences,2020,541(1):36-59.
[8]HAO C,LI J H,FAN M,et al.Optimal scale selection in dynamic multi-scale decision tables based on sequential three-way decisions[J].Information Sciences,2017,415/416:213-232.
[9]MIAO D Q,ZHANG,Q H,QIAN Y H,et al.From human intelligence to machine implementation model:Theories and applications based ongranular computing[J].CAAI Transactions on Intelligent Systems,2016,11(6):743-757.
[10]ZENG W L,ZHE Y H.Object-oriented multigranulation formal concept analysis[J].Computer Science,2018,45(10):51-53,63.
[11]ZHANG C,BAI W H,LI D Y,et al.Multiple attribute group decision making based on multigranulation probabilistic models,MULTIMOORA and TPOP in incomplete q-rung orthopair fuzzy information systems[J].International Journal of Approximate Reasoning,2022,143(4):102-120.
[12]PANG J F,SONG P,LIANG J Y.Review on multi-granulationcomputing models and methods for decision analysis[J].Pattern Recognition and Artificial Intelligence,2021,34(12):1120-1130.
[13]WANG Q,LI D Y,ZHAI Y H,et al.Parameterized fuzzy decision implication[J].Journal of Computer Research and Development,2022,59(9):2066-2074.
[14]ZHANG S X,LI D Y,ZHAI Y H.Incremental method of gene-rating decision implication canonical basis[J].Soft Computing:A Fusion of Foundations,Methodologies and Applications,2022,26(3):1067-1083.
[15]ZHAI Y H,JIA N,ZHANG S X,et al.Study on deductionprocess and inference methods of decision implications[J].International Journal of Machine Learning and Cybernetics,2022,13(7):1959-1979.
[16]ZHANG C,LI D Y.Interval-valued hesitant fuzzy graphs decision making with correlations and prioritization relationships[J].Journal of Computer Research and Development,2019,56(11):2438-2447.
[17]LI J H,WU W Z,DENG S.Multi-scale theory in formal conceptanalysis[J].Journal of Shandong University(Natural Science),2019,54(2):30-40.
[18]LI J H,LI Y F,MI Y L,et al.Meso-granularity labeled method for multi-granularity formalconcept analysis[J].Journal of Computer Research and Development,2020,57(2):447-458.
[19]WU W Z,LEUNG Y,MI J S.Granular computing and know-ledge reduction in formal contexts[J].IEEE Transaction on Knowledge and Data Engineering,2009,10(21):1461-1474.
[20]HAO C,FAN M,LI J H,et al.Optimal scale selection in multi-scale contexts based on granular scale rules[J].Pattern Recognition and Artificial Intelligence,2016,29(3):272-280.
[21]LI J H,HE J J.Uncertainty measurement and optimal granularity selection for multi-granularity formal context[J].Control and Decision,2022,37(5):1299-1308.
[22]LI J H,ZHOU X R.Attribute reduction in multi-granularityformal decision contexts[J].Pattern Recognition and Artificial Intelligence,2022,35(5):387-400.
[23]ZHANG W X,QIU G F.Uncertain decision making based onrough set[M].Beijing,China:Tshinghua University Press,2005.
[1] LIU Jin, MI Jusheng, LI Zhongling, LI Meizheng. Dual Three-way Concept Lattice Based on Composition of Concepts and Its Concept Reduction [J]. Computer Science, 2023, 50(6): 122-130.
[2] YANG Ye, WU Weizhi, ZHANG Jiaru. Optimal Scale Selection and Rule Acquisition in Inconsistent Generalized Decision Multi-scale Ordered Information Systems [J]. Computer Science, 2023, 50(6): 131-141.
[3] WANG Taibin, LI Deyu, ZHAI Yanhui. Method of Updating Formal Concept Under Covering Multi-granularity [J]. Computer Science, 2023, 50(10): 18-27.
[4] FAN Tingrui, LIU Dun, YE Xiaoqing. Two-sided Matching Method for Online Consultation Platform Considering Demand Priority [J]. Computer Science, 2023, 50(10): 28-36.
[5] FANG Lian-hua, LIN Yu-mei, WU Wei-zhi. Optimal Scale Selection in Random Multi-scale Ordered Decision Systems [J]. Computer Science, 2022, 49(6): 172-179.
[6] WANG Zi-yin, LI Lei-jun, MI Ju-sheng, LI Mei-zheng, XIE Bin. Attribute Reduction of Variable Precision Fuzzy Rough Set Based on Misclassification Cost [J]. Computer Science, 2022, 49(4): 161-167.
[7] LI Yong-hong, WANG Ying, LI La-quan, ZHAO Zhi-qiang. Application of Improved Feature Selection Algorithm in Spam Filtering [J]. Computer Science, 2022, 49(11A): 211000028-5.
[8] LI Yan, FAN Bin, GUO Jie, LIN Zi-yuan, ZHAO Zhao. Attribute Reduction Method Based on k-prototypes Clustering and Rough Sets [J]. Computer Science, 2021, 48(6A): 342-348.
[9] LIU Zhong-hui, ZHAO Qi, ZOU Lu, MIN Fan. Heuristic Construction of Triadic Concept and Its Application in Social Recommendation [J]. Computer Science, 2021, 48(6): 234-240.
[10] SHEN Xia-jiong, YANG Ji-yong, ZHANG Lei. Attribute Exploration Algorithm Based on Unrelated Attribute Set [J]. Computer Science, 2021, 48(4): 54-62.
[11] WEN Xin, YAN Xin-yi, CHEN Ze-hua. Minimal Optimistic Concept Generation Algorithm Based on Equivalent Relations [J]. Computer Science, 2021, 48(3): 163-167.
[12] ZENG Hui-kun, MI Ju-sheng, LI Zhong-ling. Dynamic Updating Method of Concepts and Reduction in Formal Context [J]. Computer Science, 2021, 48(1): 131-135.
[13] SANG Bin-bin, YANG Liu-zhong, CHEN Hong-mei, WANG Sheng-wu. Incremental Attribute Reduction Algorithm in Dominance-based Rough Set [J]. Computer Science, 2020, 47(8): 137-143.
[14] YUE Xiao-wei, PENG Sha and QIN Ke-yun. Attribute Reduction Methods of Formal Context Based on ObJect (Attribute) Oriented Concept Lattice [J]. Computer Science, 2020, 47(6A): 436-439.
[15] HOU Cheng-jun,MI Ju-sheng,LIANG Mei-she. Attribute Reduction Based on Local Adjustable Multi-granulation Rough Set [J]. Computer Science, 2020, 47(3): 87-91.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!